#### Solution for 34 is what percent of 31:

34:31*100 =

(34*100):31 =

3400:31 = 109.68

Now we have: 34 is what percent of 31 = 109.68

Question: 34 is what percent of 31?

Percentage solution with steps:

Step 1: We make the assumption that 31 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={31}.

Step 4: In the same vein, {x\%}={34}.

Step 5: This gives us a pair of simple equations:

{100\%}={31}(1).

{x\%}={34}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{31}{34}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{34}{31}

\Rightarrow{x} = {109.68\%}

Therefore, {34} is {109.68\%} of {31}.

#### Solution for 31 is what percent of 34:

31:34*100 =

(31*100):34 =

3100:34 = 91.18

Now we have: 31 is what percent of 34 = 91.18

Question: 31 is what percent of 34?

Percentage solution with steps:

Step 1: We make the assumption that 34 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={34}.

Step 4: In the same vein, {x\%}={31}.

Step 5: This gives us a pair of simple equations:

{100\%}={34}(1).

{x\%}={31}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{34}{31}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{31}{34}

\Rightarrow{x} = {91.18\%}

Therefore, {31} is {91.18\%} of {34}.

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